245151513104 has 180 divisors, whose sum is σ = 520832643372. Its totient is φ = 111727296000.

The previous prime is 245151513083. The next prime is 245151513133. The reversal of 245151513104 is 401315151542.

It can be written as a sum of positive squares in 2 ways, for example, as 120367363600 + 124784149504 = 346940^2 + 353248^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2427242654 + ... + 2427242754.

Almost surely, 2^245151513104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245151513104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260416321686).

245151513104 is an abundant number, since it is smaller than the sum of its proper divisors (275681130268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

245151513104 is a wasteful number, since it uses less digits than its factorization.

245151513104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

Adding to 245151513104 its reverse (401315151542), we get a palindrome (646466664646).

The spelling of 245151513104 in words is "two hundred forty-five billion, one hundred fifty-one million, five hundred thirteen thousand, one hundred four".